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References
S. SBHYANKAR, Local uniformization on algebraic surfaces over ground fields of characteristic p ≠ 0. Ann. of Maths., 63 (1956), p. 491–526.
S. ABHYANKAR, On the ramification of algebraic functions, Ann. of Maths., 77 (1955), p. 575–592.
S. ABHYANKAR, Reduction to multiplicity less than p in a p-cyclic extension of a two dimensional regular ring, Math. Ann. 154 (1964), 28–55
S. ABHYANKAR, Nonsplitting of valuations in extensions of two dimensional regular local domains, Math. Ann. 170 (1967), 87–144.
V. COSSART, Une nouvelle définition de l'invariant δ, Unpublished.
V. COSSART, Desingularization of embedded excellent surfaces. Tohoku Math. Journ. 33 (1981), 25–33.
J. GIRAUD, Etude locale des singularités, Orsay, Pub. no. 26 (1972)
J. GIRAUD, Desingularization in low dimension, Lecture 2 in this volume.
H. HIRONAKA, Characteristic polyhedra of singularities, J. Math. Kyoto University, V. 7 (1967), 251–293.
H. HIRONAKA, Bimeromorphic smoothing of a complex analytic space, University of Warwick (1967).
H. HIRONAKA, Introduction to the theory of infinitely near singular points, Memorias de Matematica del Instituto "Jorge Juan" 28.
H. HIRONAKA, Desingularization of excellent surfaces. Advanced Science Seminar in Algebraic Geometry (summer 1967). Notes by B.Bennett, Bowdoin College, reprinted in the appendix of this volume.
H. HIRONAKA, J.M. AROCA, J.U. VICENTE, The theory of the maximal contact. Memorias de Matematica del Instituto "Jorge Juan" 29.
H. HIRONAKA, Desingularization Theorems. Memorias de Matematica des Instituto "Jorge Juan" 30.
H.W.E. JUNG, Darstellung der Funktionen eines algebraischen Körpers zweier unabhängigen Veränderlichen in der Umgebung einer Stelle. J. Reine Angew. Math. 133 (1908), 289–314.
J. LIPMAN, Desingularization of two-dimensional schemes. Ann. of Math. 107 (1978).
T. SANCHEZ, Teoria de singularidades de superficies algebroides sumergidas. Monografias y memorias de Matematica. IX, Pub del Instituto "Jorge Juan" de Matematicas. Madrid (1976).
O. ZARISKI, Exceptional singularities of an algebroid surface and their reduction. Atti. Acad. Naz. dei Lincei, serie VIII, vol. XLIII (1967), 135–146.
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Cossart, V. (1984). Desingularization in dimension 2. In: Resolution of Surface Singularities. Lecture Notes in Mathematics, vol 1101. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072261
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DOI: https://doi.org/10.1007/BFb0072261
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